What is the Greatest Common Factor of 79750 and 79762?

Greatest common factor (GCF) of 79750 and 79762 is 2.

GCF(79750,79762) = 2

We will now calculate the prime factors of 79750 and 79762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79750 and 79762.

How to find the GCF of 79750 and 79762?

We will first find the prime factorization of 79750 and 79762. After we will calculate the factors of 79750 and 79762 and find the biggest common factor number .

Step-1: Prime Factorization of 79750

Prime factors of 79750 are 2, 5, 11, 29. Prime factorization of 79750 in exponential form is:

79750 = 2¹ × 5³ × 11¹ × 29¹

Step-2: Prime Factorization of 79762

Prime factors of 79762 are 2, 19, 2099. Prime factorization of 79762 in exponential form is:

79762 = 2¹ × 19¹ × 2099¹

Step-3: Factors of 79750

List of positive integer factors of 79750 that divides 79750 without a remainder.

1, 2, 5, 10, 11, 22, 25, 29, 50, 55, 58, 110, 125, 145, 250, 275, 290, 319, 550, 638, 725, 1375, 1450, 1595, 2750, 3190, 3625, 7250, 7975, 15950, 39875

Step-4: Factors of 79762

List of positive integer factors of 79762 that divides 79750 without a remainder.

1, 2, 19, 38, 2099, 4198, 39881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79750 and 79762. The biggest common factor number is the GCF number.
So the greatest common factor 79750 and 79762 is 2.

Also check out the Least Common Multiple of 79750 and 79762